LCM of 704, 716, 286, 879, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 716, 286, 879, 916 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 704, 716, 286, 879, 916. So, keep reading to learn more.
Given numbers are 704,716,286,879,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,716,286,879,916 is 329756526528.
Find LCM of 704,716,286,879,916 with Prime Factorization
| 2 | 704, 716, 286, 879, 916 |
| 2 | 352, 358, 143, 879, 458 |
| 11 | 176, 179, 143, 879, 229 |
| 16, 179, 13, 879, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 16 x 179 x 13 x 879 x 229 = 329756526528
Therefore, the lowest common multiple of 704,716,286,879,916 is 329756526528.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
704 x 716 x 286 x 879 x 916 = 116074297337856
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
716 : 1, 2, 4, 179, 358, 716
286 : 1, 2, 11, 13, 22, 26, 143, 286
879 : 1, 3, 293, 879
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,716,286,879,916, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
716:2x 2x 179
286:2x 11x 13
879:3x 293
916:2x 2x 229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 11 = 352
Therefore, the value for common factors is 352.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 116074297337856/(1x352)
LCM = 116074297337856/352
LCM = 329756526528
Thus, we can understand that the LCM of 704,716,286,879,916 is 329756526528.
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FAQs on LCM of 704, 716, 286, 879, 916
1. What is the LCM of 704, 716, 286, 879, 916?
Answer: LCM of 704, 716, 286, 879, 916 is 329756526528.
2. How to calculate the LCM of 704, 716, 286, 879, 916?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 704, 716, 286, 879, 916.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.